Sharp JX-9400 Información técnica Pagina 33

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The air mass conservation (Equat ion 1.23) is rewritten as:
q
0i
¼ T
i
X
N
j ¼0
q
ij
ð1
ij
Þ
T
j
X
N
j ¼1
q
ji
ð1
ij
Þþ
V
i
T
i
dT
i
dt
ð1:43Þ
These last two systems include N þ 1 equations for N þ 1 unknowns, q
ij
, for
each zone i.
It should be noticed that Equation 1.43 can be simplified, and becomes
similar to Equation 1.23 if indoor and outdoor temperatures are close to each
other and if the internal temperature is constant. This means that, provided
such conditions are realized, the volume conservation equation can be used
instead of mass conservation.
Summary of the various tracer gas methods
The different tracer gas techniques can be broadly divided into two categories:
steady-state methods, which directly measure the flow rate, Q, and transient
methods, which measure the nominal time constant,
n
, or the air change rate,
n. The steady-state techniques are based on recording steady-state conce ntra-
tions or concentrations integrated over a long time, while transient methods are
based on recording the change in tracer gas concentration. The di fferent tracer
gas techniques and their properties are given in Tables 1.1 and 1.2.
If airflow varies with time, only the two-point decay and the constant
concentration methods give a correct estimate of the average flow. The constant
injection meth od underestimates the average flow rate if the integration time is
much longer than the period of flow variation.
Table 1.3 gives a summary of multi-zone methods. As far as single-zone
measurements are concerned, the following conclusions can be stated:
.
It appears that decay, pulse and step-up methods require the least measure-
ment time and usually the least preparation. However, with the exception of
the two-point decay method, they give a biased estimate of a variable air
change rate. These biases remain small if the measurement period is limited
to times close to the nominal time constant.
Table 1.1 Summary of different injection strategie s
Tracer injection strategy Direct result Cost
Pulse injection Q
y
Moderate
Decay n or
n
Moderate
Constant injection rate Q
y
Moderate
Constant concentration Q Relatively high
Note: y The volume has no influence only when the airflow rate, Q, is constant.
12 Ventilation and Airflow in Buildings
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